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FOCS
2006
IEEE
14 years 4 months ago
On the Quantum Query Complexity of Local Search in Two and Three Dimensions
The quantum query complexity of searching for local optima has been a subject of much interest in the recent literature. For the d-dimensional grid graphs, the complexity has been...
Xiaoming Sun, Andrew Chi-Chih Yao
TAMC
2010
Springer
14 years 3 months ago
Streaming Algorithms for Some Problems in Log-Space
Abstract. In this paper, we give streaming algorithms for some problems which are known to be in deterministic log-space, when the number of passes made on the input is unbounded. ...
Ajesh Babu, Nutan Limaye, Girish Varma
STOC
2010
ACM
168views Algorithms» more  STOC 2010»
14 years 7 months ago
Non-commutative circuits and the sum-of-squares problem
We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
Pavel Hrubes, Avi Wigderson and Amir Yehudayoff
CORR
2010
Springer
190views Education» more  CORR 2010»
13 years 10 months ago
Overlap properties of geometric expanders
The overlap number of a finite (d + 1)-uniform hypergraph H is the largest constant c(H) (0, 1] such that no matter how we map the vertices of H into Rd , there is a point covered...
Jacob Fox, Mikhail Gromov, Vincent Lafforgue, Assa...
FSTTCS
2009
Springer
14 years 4 months ago
Iterative Methods in Combinatorial Optimization
We describe a simple iterative method for proving a variety of results in combinatorial optimization. It is inspired by Jain’s iterative rounding method (FOCS 1998) for designing...
R. Ravi